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Complex network theory crucially depends on the assumptions made about the degree distribution, while fitting degree distributions to network data is challenging, in particular for scale-free networks with power-law degrees. We present a…

Physics and Society · Physics 2022-12-28 Judith Brugman , Johan S. H. van Leeuwaarden , Clara Stegehuis

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

Optimal curing strategy of suppressing competing epidemics spreading over complex networks is a critical issue. In this paper, we first establish a framework to capture the coupling between two epidemics, and then analyze the system's…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Juntao Chen , Yunhan Huang , Rui Zhang , Quanyan Zhu

In the past few decades, the frequency of pandemics has been increased due to the growth of urbanization and mobility among countries. Since a disease spreading in one country could become a pandemic with a potential worldwide humanitarian…

Physics and Society · Physics 2020-04-01 L. D. Valdez , L. A. Braunstein , S. Havlin

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

Epidemiological models describe the spread of an infectious disease within a population. They capture microscopic details on how the disease is passed on among individuals in various different ways, while making predictions about the state…

Populations and Evolution · Quantitative Biology 2024-02-27 Stefan Hohenegger , Francesco Sannino

Many real networks are not isolated from each other but form networks of networks, often interrelated in non trivial ways. Here, we analyze an epidemic spreading process taking place on top of two interconnected complex networks. We develop…

Disordered Systems and Neural Networks · Physics 2015-06-04 Anna Saumell-Mendiola , M. Ángeles Serrano , Marián Boguñá

Network epidemic simulation holds the promise of enabling fine-grained understanding of epidemic behavior, beyond that which is possible with coarse-grained compartmental models. Key inputs to these epidemic simulations are the networks…

Social and Information Networks · Computer Science 2024-01-01 Omar Eldaghar , Michael W. Mahoney , David F. Gleich

A common theme among the proposed models for network epidemics is the assumption that the propagating object, i.e., a virus or a piece of information, is transferred across the nodes without going through any modification or evolution.…

Physics and Society · Physics 2019-11-05 Rashad Eletreby , Yong Zhuang , Kathleen M. Carley , Osman Yağan , H. Vincent Poor

In this paper we provide the derivation of a super compact pairwise model with only 4 equations in the context of describing susceptible-infected-susceptible (SIS) epidemic dynamics on heterogenous networks. The super compact model is based…

Dynamical Systems · Mathematics 2015-03-04 Péter L. Simon , Istvan Z. Kiss

Traditional mathematical models of epidemic disease had for decades conventionally considered static structure for contacts. Recently, an upsurge of theoretical inquiry has strived towards rendering the models more realistic by…

Physics and Society · Physics 2016-01-20 Babak Fotouhi , Mehrdad Khani Shirkoohi

Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world…

Physics and Society · Physics 2017-02-09 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

Populations and Evolution · Quantitative Biology 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

The spreading of an epidemic is determined by the connectiviy patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to…

Statistical Mechanics · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

Complex networks with pairwise connections have been vastly used for the modeling of interactions within systems. Although these type of models are capable to capture rich structures and different phases within a great variety of…

Statistical Mechanics · Physics 2022-09-14 Gerardo Palafox-Castillo , Arturo Berrones-Santos

In this paper we study a susceptible infectious recovered (SIR) model with asymptomatic patients, contact tracing and isolation on a configuration network. Using degree based approximation, we derive a system of differential equations for…

Social and Information Networks · Computer Science 2022-12-20 Duan-Shin Lee , Ting-Zhe Liu , Ruhui Zhang , Cheng-Shang Chang

Information dissemination intricately intertwines with the dynamics of infectious diseases in the contemporary interconnected world. Recognizing the critical role of public awareness, individual vaccination choices appear to be an essential…

Physics and Society · Physics 2024-10-30 Viney Kumar , Chris T Bauch , Samit Bhattacharyya

A problem closely related to epidemiology, where a subgraph of 'infected' links is defined inside a larger network, is investigated. This subgraph is generated from the underlying network by a random variable, which decides whether a link…

Physics and Society · Physics 2016-04-07 M Cotacallapa , M O Hase

In Fall 2020, several European countries reported rapid increases in COVID-19 cases along with growing estimates of the effective reproduction rates. Such an acceleration in epidemic spread is usually attributed to time-dependent effects,…

Populations and Evolution · Quantitative Biology 2022-11-30 Nazmi Burak Budanur , Björn Hof

Moment-closure techniques are commonly used to generate low-dimensional deterministic models to approximate the average dynamics of stochastic systems on networks. The quality of such closures is usually difficult to asses and the…

Populations and Evolution · Quantitative Biology 2015-05-14 Lorenzo Pellis , Thomas House , Matt J. Keeling
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